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Finding the Third Proportional to 9,729,954 and 13,686,429

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Solution

The third proportional to 9,729,954 and 13,686,429 is: 19,251,718.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729,954 : 13,686,429 = 13,686,429 : x
  2. Step 2: Convert to fraction form
    9,729,954/13,686,429 = 13,686,429/x
  3. Step 3: Cross multiply
    9,729,954x = 13,686,429 × 13,686,429
  4. Step 4: Simplify right side
    9,729,954x = 187,318,338,772,041
  5. Step 5: Solve for x
    x = 187,318,338,772,041/9,729,954
  6. Step 6: Final answer
    x = 19,251,718.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.